Any wireless router will do really .... is price an issue?
Adsl modem redundant ......
Router into BT Adsl line socket / filter, additional cable from router into PC which must be fitted with a network card (most 'new' PC's are) so signal from router to PC1 is via the network cable ... signal to laptop and additional PC's (don't tell the kids) in the garden / other rooms is via wireless signal, each 'additional' PC laptop must have a card to receive signal.
No extra accounts needed (although not 100% sure with AOL which I HATE!!!!! - Sorry)
Fairly easy to run an 'open' network ( neighbour can log in!!) more complicated to secure it AND get it working effectively (a problem I have at the moment)
Good Luck